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Finding the Fourth Proportional to 519,168, 778,836.24 and 203,453.76

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Solution

The fourth proportional to 519,168, 778,836.24 and 203,453.76 is: 305,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,168 : 778,836.24 = 203,453.76 : x
  2. Step 2: Convert to fraction form
    519,168/778,836.24 = 203,453.76/x
  3. Step 3: Cross multiply
    519,168x = 778,836.24 × 203,453.76
  4. Step 4: Simplify right side
    519,168x = 158,457,161,452.26
  5. Step 5: Solve for x
    x = 158,457,161,452.26/519,168
  6. Step 6: Final answer
    x = 305,213.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.